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20102026
most citedSocial physics

649 citations

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5 papers · 1 filter

math.NA2020★ 23 cited

Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation in three dimensions

Jin Cui, Yushun Wang, Chaolong Jiang

In this paper, we design a novel class of arbitrarily high-order structure-preserving numerical schemes for the time-dependent Gross-Pitaevskii equation with angular momentum rotat…

math.NA2020★ 2 cited

Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations

Chaolong Jiang, Yushun Wang, Yuezheng Gong

A novel class of explicit high-order energy-preserving methods are proposed for general Hamiltonian partial differential equations with non-canonical structure matrix. When the ene…

math.NA2019★ 49 cited

A linearly implicit energy-preserving exponential integrator for the nonlinear Klein-Gordon equation

Chaolong Jiang, Yushun Wang, Wenjun Cai

In this paper, we generalize the exponential energy-preserving integrator proposed in the recent paper [SIAM J. Sci. Comput. 38(2016) A1876-A1895] for conservative systems, which n…

math.NA2018★ 105 cited

Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions

Wenjun Cai, Chaolong Jiang, Yushun Wang

This paper presents two kinds of strategies to construct structure-preserving algorithms with homogeneous Neumann boundary conditions for the sine-Gordon equation, while most exist…

math.NA2018★ 1 cited

A linearly implicit and local energy-preserving scheme for the sine-Gordon equation based on the invariant energy quadratization approach

Chaolong Jiang, Wenjun Cai, Yushun Wang

In this paper, we develop a novel, linearly implicit and local energy-preserving scheme for the sine-Gordon equation. The basic idea is from the invariant energy quadratization app…